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19994160 = 2435227367
BaseRepresentation
bin100110001000…
…1011000110000
31101121210211110
41030101120300
520104303120
61552313320
7331643004
oct114213060
941553743
1019994160
11103169aa
126842840
1341b0884
142926704
151b4e2e0
hex1311630

19994160 has 80 divisors (see below), whose sum is σ = 62424576. Its totient is φ = 5293824.

The previous prime is 19994131. The next prime is 19994201. The reversal of 19994160 is 6149991.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54297 + ... + 54663.

Almost surely, 219994160 is an apocalyptic number.

19994160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19994160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31212288).

19994160 is an abundant number, since it is smaller than the sum of its proper divisors (42430416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19994160 is a wasteful number, since it uses less digits than its factorization.

19994160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 19994160 is about 4471.4829754792. The cubic root of 19994160 is about 271.4153387560.

The spelling of 19994160 in words is "nineteen million, nine hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 367 454 681 734 908 1101 1135 1362 1468 1816 1835 2202 2270 2724 2936 3405 3632 3670 4404 4540 5448 5505 5872 6810 7340 8808 9080 10896 11010 13620 14680 17616 18160 22020 27240 29360 44040 54480 83309 88080 166618 249927 333236 416545 499854 666472 833090 999708 1249635 1332944 1666180 1999416 2499270 3332360 3998832 4998540 6664720 9997080 19994160